GCF of 6969/952, 7038/6307
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6969/952, 7038/6307 i.e 69/50456 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6969/952, 7038/6307.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 6969/952,7038/6307?
Given fractions are 6969/952,7038/6307
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 6969/952,7038/6307, numerators are 6969,7038
Denominators are 952,6307
The GCF of 6969,7038 is 69 .
LCM of 952,6307 is 50456.
The greatest common factor of 6969/952,7038/6307 = [GCF of 6969,7038]/[LCM of 952,6307]= 69/50456
Therefore, the GCF of 6969/952,7038/6307 is 69/50456.
To find the highest common factor of 6969,7038, we have to find the factors of both numbers and list the highest common factor.
The factors of 6969 are 1, 3, 23, 69, 101, 303, 2323, 6969
The factors of 7038 are 1, 2, 3, 6, 9, 17, 18, 23, 34, 46, 51, 69, 102, 138, 153, 207, 306, 391, 414, 782, 1173, 2346, 3519, 7038
The HCF of 6969,7038 is 69.
Lets's calculate GCF of 6969,7038
| 3 | 6969, 7038 |
| 23 | 2323, 2346 |
| 101, 102 |
∴ So the GCF of the given numbers is 3 x 23 = 69
Greatest Common Factor of 6969,7038 By Matching Biggest Common Factor Method
Now, list down the factors of 6969
:1,3,23,69,101,303,2323,6969
Now, list down the factors of 7038
:1,2,3,6,9,17,18,23,34,46,51,69,102,138,153,207,306,391,414,782,1173,2346,3519,7038
Greatest Common Factor
We found the factors 6969,7038 . The biggest common factor number is the GCF number.
So the greatest common factor 6969,7038 is 69.
Lets's calculate LCM of 952,6307
| 7 | 952, 6307 |
| 17 | 136, 901 |
| 8, 53 |
∴ So the LCM of the given numbers is 7 x 17 x 8 x 53 = 50456
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 69/50456
Therefore, the GCF of Fractions 6969/952,7038/6307 is 69/50456
Least Common Multiple of 952,6307 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 952,6307 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(952,6307) = 119
common factors(in case of two or more numbers have common factors) = 1
GCF(952,6307) x common factors =119 x 1 = 119
LCM(952,6307) = ( 952 × 6307 ) / 119
LCM(952,6307) = 6004264 / 119
LCM(952,6307) = 50456
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6969/952, 7038/6307
1. What is the HCF of 6969,7038?
The HCF of 6969,7038 is 69
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 6969/952, 7038/6307?
Answer: GCF of Numerators as per given numbers 6969/952, 7038/6307 is
GCF of Numerators i.e. for 6969,7038 is 69
LCM of denominators i.e. for 952,6307 is 50456.
Thus, GCF of Fractions is 69/50456.Finally, GCF of Fractions for 6969/952, 7038/6307 is 69/50456.